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Finding the Third Proportional to 256,652,309 and 554,213,506

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Solution

The third proportional to 256,652,309 and 554,213,506 is: 1,196,765,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,652,309 : 554,213,506 = 554,213,506 : x
  2. Step 2: Convert to fraction form
    256,652,309/554,213,506 = 554,213,506/x
  3. Step 3: Cross multiply
    256,652,309x = 554,213,506 × 554,213,506
  4. Step 4: Simplify right side
    256,652,309x = 307,152,610,232,812,032
  5. Step 5: Solve for x
    x = 307,152,610,232,812,032/256,652,309
  6. Step 6: Final answer
    x = 1,196,765,427.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.